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120345380 = 22517247443
BaseRepresentation
bin1110010110001…
…01001100100100
322101110011211022
413023011030210
5221302023010
615535230312
72660630111
oct713051444
9271404738
10120345380
1161a282a1
1234378398
131bc181ac
1411da9908
15a872d55
hex72c5324

120345380 has 72 divisors (see below), whose sum is σ = 274796928. Its totient is φ = 44242432.

The previous prime is 120345371. The next prime is 120345383. The reversal of 120345380 is 83543021.

It is not an unprimeable number, because it can be changed into a prime (120345383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271439 + ... + 271881.

It is an arithmetic number, because the mean of its divisors is an integer number (3816624).

Almost surely, 2120345380 is an apocalyptic number.

120345380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120345380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137398464).

120345380 is an abundant number, since it is smaller than the sum of its proper divisors (154451548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120345380 is a wasteful number, since it uses less digits than its factorization.

120345380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 120345380 is about 10970.2041913540. The cubic root of 120345380 is about 493.7151728893.

The spelling of 120345380 in words is "one hundred twenty million, three hundred forty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 170 188 235 289 340 443 470 578 799 886 940 1156 1445 1598 1772 2215 2890 3196 3995 4430 5780 7531 7990 8860 13583 15062 15980 20821 27166 30124 37655 41642 54332 67915 75310 83284 104105 128027 135830 150620 208210 256054 271660 353957 416420 512108 640135 707914 1280270 1415828 1769785 2560540 3539570 6017269 7079140 12034538 24069076 30086345 60172690 120345380